Abstract A numerical simulation is applied to investigate the avalanche flow characteristic of particles in the slumping regime within a rotating drum. Based on the simulation model, the quantitative change of particles involved in avalanches on the free surface is investigated. The growth rate of avalanching particle number experiences a process of increasing, then stabilizing, and finally reducing. Investigation of the nucleation and propagation process of the avalanching reveal that any position of the free surface nucleates uniformly and the values of propagating velocities toward upward, downward, leftward, and rightward directions are constant. Then, it is discovered that the number of particles participating in the avalanches increases linearly with the square of time at the beginning of the avalanche, which is also proved by the simulation result. Finally, we find that the distribution of the rolling angles approximately follows the normal distribution with the same characteristics at different times.

中文翻译：

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转鼓中雪崩传播动力学的数值模拟

摘要 应用数值模拟研究了转鼓内坍落状态下颗粒的雪崩流动特性。基于该模拟模型，研究了自由表面雪崩所涉及的粒子的数量变化。雪崩粒子数的增长速度经历了一个增加，然后稳定，最后减少的过程。对雪崩的成核和传播过程的研究表明，自由表面的任何位置都均匀地成核，向上、向下、向左和向右方向的传播速度值是恒定的。然后，发现参与雪崩的粒子数在雪崩开始时随时间的平方线性增加，仿真结果也证明了这一点。最后，我们发现滚动角的分布近似遵循在不同时间具有相同特征的正态分布。